diff --git a/Doc/api/concrete.tex b/Doc/api/concrete.tex
index 50405ff..fd8ac4a 100644
--- a/Doc/api/concrete.tex
+++ b/Doc/api/concrete.tex
@@ -36,7 +36,16 @@
 \end{cvardesc}
 
 \begin{cfuncdesc}{int}{PyType_Check}{PyObject *o}
-  Returns true is the object \var{o} is a type object.
+  Returns true if the object \var{o} is a type object, including
+  instances of types derived from the standard type object.  Returns
+  false in all other cases.
+\end{cfuncdesc}
+
+\begin{cfuncdesc}{int}{PyType_CheckExact}{PyObject *o}
+  Returns true if the object \var{o} is a type object, but not a
+  subtype of the standard type object.  Returns false in all other
+  cases.
+  \versionadded{2.2}
 \end{cfuncdesc}
 
 \begin{cfuncdesc}{int}{PyType_HasFeature}{PyObject *o, int feature}
@@ -44,6 +53,12 @@
   \var{feature}.  Type features are denoted by single bit flags.
 \end{cfuncdesc}
 
+\begin{cfuncdesc}{int}{PyType_IS_GC}{PyObject *o}
+  Return true if the type object includes support for the cycle
+  detector; this tests the type flag \constant{Py_TPFLAGS_HAVE_GC}.
+  \versionadded{2.0}
+\end{cfuncdesc}
+
 \begin{cfuncdesc}{int}{PyType_IsSubtype}{PyTypeObject *a, PyTypeObject *b}
   Returns true if \var{a} is a subtype of \var{b}.
   \versionadded{2.2}